493180608 has 112 divisors (see below), whose sum is σ = 1404847584. Its totient is φ = 152125440.

The previous prime is 493180607. The next prime is 493180609. The reversal of 493180608 is 806081394.

It is an interprime number because it is at equal distance from previous prime (493180607) and next prime (493180609).

It is a super-2 number, since 2×493180608² = 486454224214499328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (493180601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197866 + ... + 200342.

It is an arithmetic number, because the mean of its divisors is an integer number (12543282).

Almost surely, 2^493180608 is an apocalyptic number.

493180608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493180608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702423792).

493180608 is an abundant number, since it is smaller than the sum of its proper divisors (911666976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

493180608 is a wasteful number, since it uses less digits than its factorization.

493180608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2570 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 493180608 is about 22207.6700263670. The cubic root of 493180608 is about 790.0756259386.

The spelling of 493180608 in words is "four hundred ninety-three million, one hundred eighty thousand, six hundred eight".